Let's divide 516419 by 67
Our goal is to divide 516419 by 67.

On to step 1:
If we divide 5 by 67, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Grab the next digit (1) from the dividend, add it to 5, then carry on: 51 / 67

Going ahead to step 2:
67 goes into 51 0 times with a remainder of 51.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 51 and we're left with 51.
Bring next digit (6) of the dividend behind the 51 and repeat the process: 516 / 67

Going ahead to step 3:
When dividing 516 by 67, we get 7 with a remainder of 47.
Use 7 as the next digit of our solution. 
Result so far: 7.0
The remainder is 47 after subtracting 469 from 516.
Include the next digit (4) from the dividend after 47, then repeat: 474 / 67

On to step 4:
474 divided by 67 is 7 with a remainder of 5.
Use 7 as the next digit of our solution. 
Result so far: 77.0
The remainder is 5 after subtracting 469 from 474.
Take the next digit (1) from the dividend and append it to 5, then repeat: 51 / 67

Moving on to step 5:
The number 67 fits into 51 0 times, leaving a remainder of 51.
The next digit of our result is 0. 
Result so far: 770.0
If we take 0 away from 51, we end up with 51.
Fetch the next digit (9) from the dividend, attach it to 51 and continue: 519 / 67

Advancing to step 6:
When dividing 519 by 67, we get 7 with a remainder of 50.
Put 7 as the next digit of the answer. 
Result so far: 7707.0
Subtracting 469 from 519 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 7:
If we divide 500 by 67, we get 7 and a remainder of 31.
The number 7 becomes the next digit in our result. 
Result so far: 7707.7
Subtract 469 from 500 to get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Let's proceed to step 8:
310 divided by 67 is 4 with a remainder of 42.
The next digit of our result is 4. 
Result so far: 7707.74
Subtract 268 from 310 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Advancing to step 9:
67 goes into 420 6 times with a remainder of 18.
Put 6 as the next digit of the answer. 
Result so far: 7707.746
Deduct 402 from 420 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Step 10:
180 divided by 67 is 2 with a remainder of 46.
Use 2 as the next digit of our solution. 
Result so far: 7707.7462
Subtracting 134 from 180 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 11:
460 divided by 67 is 6 with a remainder of 58.
Record the quotient 6 as the next digit in the result. 
Result so far: 7707.74626
Subtract 402 from 460 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Advancing to step 12:
The number 67 fits into 580 8 times, leaving a remainder of 44.
The next digit of our result is 8. 
Result so far: 7707.746268
If we subtract 536 from 580, we get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 13:
67 goes into 440 6 times with a remainder of 38.
The next digit of our result is 6. 
Result so far: 7707.7462686
Deduct 402 from 440 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Moving on to step 14:
When dividing 380 by 67, we get 5 with a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 7707.74626865
If we subtract 335 from 380, we get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

In conclusion, the division gives 7707.74626865 with a balance of 4.5e-08.